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137,956

137,956 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

137,956 (one hundred thirty-seven thousand nine hundred fifty-six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 13 × 379. Its proper divisors sum to 159,964, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21AE4.

Abundant Number Cube-Free Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
31
Digit product
5,670
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
659,731
Recamán's sequence
a(492,915) = 137,956
Square (n²)
19,031,857,936
Cube (n³)
2,625,558,993,418,816
Divisor count
24
σ(n) — sum of divisors
297,920
φ(n) — Euler's totient
54,432
Sum of prime factors
403

Primality

Prime factorization: 2 2 × 7 × 13 × 379

Nearest primes: 137,947 (−9) · 137,957 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 13 · 14 · 26 · 28 · 52 · 91 · 182 · 364 · 379 · 758 · 1516 · 2653 · 4927 · 5306 · 9854 · 10612 · 19708 · 34489 · 68978 (half) · 137956
Aliquot sum (sum of proper divisors): 159,964
Factor pairs (a × b = 137,956)
1 × 137956
2 × 68978
4 × 34489
7 × 19708
13 × 10612
14 × 9854
26 × 5306
28 × 4927
52 × 2653
91 × 1516
182 × 758
364 × 379
First multiples
137,956 · 275,912 (double) · 413,868 · 551,824 · 689,780 · 827,736 · 965,692 · 1,103,648 · 1,241,604 · 1,379,560

Sums & aliquot sequence

As consecutive integers: 19,705 + 19,706 + … + 19,711 17,241 + 17,242 + … + 17,248 10,606 + 10,607 + … + 10,618 2,436 + 2,437 + … + 2,491
Aliquot sequence: 137,956 159,964 172,676 179,242 149,078 76,642 38,324 41,644 33,956 30,136 26,384 28,300 33,328 31,276 31,332 52,444 52,500 — unresolved within range

Continued fraction of √n

√137,956 = [371; (2, 2, 1, 4, 21, 82, 2, 29, 4, 1, 1, 1, 1, 3, 1, 8, 2, 1, 1, 2, 1, 2, 1, 1, …)]

Representations

In words
one hundred thirty-seven thousand nine hundred fifty-six
Ordinal
137956th
Binary
100001101011100100
Octal
415344
Hexadecimal
0x21AE4
Base64
Ahrk
One's complement
4,294,829,339 (32-bit)
Scientific notation
1.37956 × 10⁵
As a duration
137,956 s = 1 day, 14 hours, 19 minutes, 16 seconds
In other bases
ternary (3) 21000020111
quaternary (4) 201223210
quinary (5) 13403311
senary (6) 2542404
septenary (7) 1113130
nonary (9) 230214
undecimal (11) 94715
duodecimal (12) 67a04
tridecimal (13) 4aa40
tetradecimal (14) 383c0
pentadecimal (15) 2ad21

As an angle

137,956° = 383 × 360° + 76°
76° ≈ 1.326 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζϡνϛʹ
Mayan (base 20)
𝋱·𝋤·𝋱·𝋰
Chinese
一十三萬七千九百五十六
Chinese (financial)
壹拾參萬柒仟玖佰伍拾陸
In other modern scripts
Eastern Arabic ١٣٧٩٥٦ Devanagari १३७९५६ Bengali ১৩৭৯৫৬ Tamil ௧௩௭௯௫௬ Thai ๑๓๗๙๕๖ Tibetan ༡༣༧༩༥༦ Khmer ១៣៧៩៥៦ Lao ໑໓໗໙໕໖ Burmese ၁၃၇၉၅၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137956, here are decompositions:

  • 23 + 137933 = 137956
  • 29 + 137927 = 137956
  • 47 + 137909 = 137956
  • 83 + 137873 = 137956
  • 89 + 137867 = 137956
  • 107 + 137849 = 137956
  • 179 + 137777 = 137956
  • 233 + 137723 = 137956

Showing the first eight; more decompositions exist.

Unicode codepoint
𡫤
CJK Unified Ideograph-21Ae4
U+21AE4
Other letter (Lo)

UTF-8 encoding: F0 A1 AB A4 (4 bytes).

Hex color
#021AE4
RGB(2, 26, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.228.

Address
0.2.26.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.228

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 137,956 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading